document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164614>Question 164614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Purchasing: a contractor buys 16yds of nylon carpet and 20 yds of wool carpet for $1840. A second purchase, at the same prices, includes 18 yds of nylon carpet and 25 ydss of wool carpet for $2200. Find the cost per yard of the wool carpet?<BR>\n" );
document.write( "I need to know the steps in how to solve this?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121338 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Purchasing: a contractor buys 16yds of nylon carpet and 20 yds of wool carpet for $1840. A second purchase, at the same prices, includes 18 yds of nylon carpet and 25 ydss of wool carpet for $2200. Find the cost per yard of the wool carpet?<BR>\n" );
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document.write( "Let w = cost/yd for wool<BR>\n" );
document.write( "Let n = cost/yd for nylon<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"contractor buys 16yds of nylon carpet and 20 yds of wool carpet for $1840.\"<BR>\n" );
document.write( "16n + 20w = 1840<BR>\n" );
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document.write( "\" 18 yds of nylon carpet and 25 yds of wool carpet for $2200\"<BR>\n" );
document.write( "18n + 25w = 2200<BR>\n" );
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document.write( " Find the cost per yard of the wool carpet?<BR>\n" );
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document.write( "The want the price of the wool, so let's eliminate n<BR>\n" );
document.write( "Multiply the 2nd equation by 16, multiply the 1st equation by 18; results;<BR>\n" );
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document.write( "288n + 400w = 35200<BR>\n" );
document.write( "288n + 360w = 33120<BR>\n" );
document.write( "---------------------subtraction eliminates n, find w<BR>\n" );
document.write( "40w = 2080<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2080%2F40 ALIGN=MIDDLE  ALT=\"2080%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = $52 a yd for wool<BR>\n" );
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document.write( "In order to check our solution we need to find the price of nylon<BR>\n" );
document.write( "Using the 1st equation, substitute 52 for w<BR>\n" );
document.write( "16n + 20(52) = 1840<BR>\n" );
document.write( "16n + 1040 = 1840<BR>\n" );
document.write( "16n = 1840 - 1040<BR>\n" );
document.write( "16n = 800<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2F16 ALIGN=MIDDLE  ALT=\"800%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = $50 a yd for nylon<BR>\n" );
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document.write( "Check our solution in the 2nd equation:<BR>\n" );
document.write( "18(50) + 25(52) = 2200<BR>\n" );
document.write( "900 + 1300 = 2200; confirms our solution<BR>\n" );
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document.write( "Did these steps make sense to you? Any questions? </SPAN>\n" );
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